You have to really sift mainstream media articles for it, but it's there:

Despite the deaths of the seven marines on Sunday and another on Saturday, the number of attacks in Falluja and the surrounding area has dropped since the Falluja offensive, and local residents have begun assisting the American-led effort in ways they never did in the past, Colonel Wilson said. Some local residents have helped American forces to spot roadside bombs, for instance, and farmers recently chased off a band of insurgents, he said. In Ramadi, residents chased a group of insurgents from the town's business area.

...South of Baghdad, marines and Iraqi security forces detained 72 suspected militants on Sunday in the latest of a series of aggressive raids around a lawless area near the Euphrates River, military officials said Monday. The raids, which began last month, are aimed at pacifying an area that is known as a base for Sunni Arab insurgents and deadly criminal gangs, where many of the rebels forced from Falluja last month also had bases.

In the same area, Iraqi police officers and national guardsmen successfully fought off a coordinated attack on Sunday by insurgents without sustaining any losses.

The battle, at a police station just north of Mahmudiya, was the latest of three in that area in which the police and national guardsmen have repelled attacks without help from American forces. It was an encouraging sign after weeks of strikes that have taken a heavy toll on Iraq's newly trained security forces.

Last month, a senior Iraqi National Guard officer in the same area was discovered to have been working with insurgents, giving them information that led to the killings of 12 guard officers. His removal has improved the morale and effectiveness of the operation, officials said.

The headline on this article was, of course, "9 Iraqis Die in Car Bombing at the Official Compound," not "Progress Being Made by Iraqis Against Insurgency," but what the heck.